HELP I WILL GIVE BRANNIEST

0.75s , 15ft

Step-by-step explanation:

Use Derivatives,

Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.

h = (-16t² + 24t + 6)

= -32t + 24

At turning points (max/min),

the gradient is 0 meaning,

= -32t + 24 = 0.

t = 24/32 = 3/4

so time = 0.75 second

Substitute this t into the function,

we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft

so, converting firstly the mixed fractions to improper fractions and then "adding".